Least Common Multiple of 3740 and 3746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3740 and 3746 the smallest integer that is 7005020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3740 and 3746 is 7005020.

LCM(3740,3746) = 7005020

LCM of 3740 and 3746

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3740 and 3746

LCM of 3740 and 3746 is 7005020

Least common multiple can be found by multiplying the highest exponent prime factors of 3740 and 3746. First we will calculate the prime factors of 3740 and 3746.

Prime Factorization of 3740


2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 3740 are 2, 5, 11,17. Prime factorization of 3740 in exponential form is:

3740 = 22×51×111×171

Prime Factorization of 3746


2 3746
1873 1873
1

Prime factors of 3746 are 2,1873. Prime factorization of 3746 in exponential form is:

3746 = 21×18731

Now multiplying the highest exponent prime factors to calculate the LCM of 3740 and 3746.

LCM(3740,3746) = 22×51×111×171×18731
LCM(3740,3746) = 7005020

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740

Factors of 3746

List of positive integer factors of 3746 that divides 3746 without a remainder.

1, 2, 1873, 3746

Least Common Multiple of 3740 and 3746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3740 and 3746, than apply into the LCM equation.

GCF(3740,3746) = 2
LCM(3740,3746) = ( 3740 × 3746) / 2
LCM(3740,3746) = 14010040 / 2
LCM(3740,3746) = 7005020

Properties of LCM 3740 and 3746

(i) The LCM of 3746 and 3740 is associative

LCM of 3740 and 3746 = LCM of 3746 and 3740

Related Least Common Multiples of 3740

Related Least Common Multiples of 3746

Frequently Asked Questions on LCM of 3740 and 3746

1. What is the LCM of 3740 and 3746?

Answer: LCM of 3740 and 3746 is 7005020.

2. What are the Factors of 3740?

Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.

3. What are the Factors of 3746?

Answer: Factors of 3746 are 1, 2, 1873, 3746. There are 4 integers that are factors of 3746. The greatest factor of 3746 is 3746.

4. How to Find the LCM of 3740 and 3746?

Answer:

Least Common Multiple of 3740 and 3746 = 7005020

Step 1: Find the prime factorization of 3740

3740 = 2 x 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 3746

3746 = 2 x 1873

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 7005020 = 2 x 2 x 5 x 11 x 17 x 1873

Step 4: Therefore, the least common multiple of 3740 and 3746 is 7005020.